9 papers
Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit
Timothée Crin-Barat, Xinghong Pan, Ling-Yun Shou +1
We investigate the relaxation problem and the diffusion phenomenon for the compressible Euler system with a time-dependent damping coefficient of the form in $…
Global convergence rates in the relaxation limits for the compressible Euler and Euler-Maxwell systems in Sobolev spaces
Timothée Crin-Barat, Yue-Jun Peng, Ling-Yun Shou
We study two relaxation problems in the class of partially dissipative hyperbolic systems: the compressible Euler system and the compressible Euler-Maxwell system. In classical Sob…
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the framework
Timothée Crin-Barat, Ling-Yun Shou, Jianzhong Zhang
We investigate the time-asymptotic stability of the Jin-Xin model and its diffusive relaxation limit toward viscous conservation laws in for . First, we est…
Large-Time Asymptotics for Hyperbolic Systems with Non-Symmetric Relaxation: An Algorithmic Approach
Timothée Crin-Barat, Lorenzo Liverani, Ling-Yun Shou +1
We study the stability of one-dimensional linear hyperbolic systems with non-symmetric relaxation. Introducing a new frequency-dependent Kalman stability condition, we prove an abs…
Global existence and optimal time-decay rates of the compressible Navier-Stokes-Euler system
Hai-Liang Li, Ling-Yun Shou
In this paper, we consider the Cauchy problem of the multi-dimensional compressible Navier-Stokes-Euler system for two-phase flow motion, which consists of the isentropic compressi…
A new characterization of the dissipation structure and the relaxation limit for the compressible Euler-Maxwell system
Timothée Crin-Barat, Yue-Jun Peng, Ling-Yun Shou +1
We investigate the three-dimensional compressible Euler-Maxwell system, a model for simulating the transport of electrons interacting with propagating electromagnetic waves in semi…